Arched Gothic Condensed  Vorgeschlagen von donshottype 
Sulphur Springs  Vorgeschlagen von donshottype 

The sign lettering is derived from a style called Concave that was popular in the second half of the 19th century.
There were quite a few variations, some with medial spurs, and included several condensed widths.
There are several digital versions of Concave, including Arched Gothic Condensed, that could be used to recreate a similar appearance as the sign.

The details of Sulphur Springs NF could make it a fair match if was edited to remove the stencil effect and the width was compressed.

Much appreciated a clock maker who works beside me is making a replica of this clock for the Belfast Telegraph new premises,
this building is getting turned into a new hotel, and they're not allowed to remove clock as it is a historic listed building.